Myths about teaching can hold you back
- Year 5
Explain how to find all the factors of a number systematically
I can explain how to find all the factors of a number systematically.
- Year 5
Explain how to find all the factors of a number systematically
I can explain how to find all the factors of a number systematically.
Lesson details
Key learning points
- All numbers have themselves and 1 as factors.
- Listing factors in order helps identify all the factors for a given number.
Keywords
Factor - Factors are whole numbers which exactly divide another whole number.
Systematic - Being systematic, means working in a set way, often according to a fixed plan.
Common misconception
Pupils do not know when to stop looking for more factors.
Build up finding factors of numbers systematically by arranging into rows and columns, starting with 1 row. Encourage pupils to generalise that when the number of rows becomes larger than the number of columns, you can stop looking for factors.
To help you plan your year 5 maths lesson on: Explain how to find all the factors of a number systematically, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 5 maths lesson on: Explain how to find all the factors of a number systematically, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 2 maths lessons from the Understand and use the concept of factorisation (square and prime numbers) unit, dive into the full primary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.What multiplication equation does this array represent?

Q2.What is the missing factor in this image?

Q3.Which of these are correct arrays for 12?




Q4.Which of these make a rectangle with an area of 32 cm $$^2$$?
Q5.Complete the missing factor: 12 × = 60
Q6.Complete: 72 ÷ = 9
Assessment exit quiz
6 Questions
Q1.Look at the rectangle on the grid. What is being represented?

Q2.Look at the rectangle on the grid. What other factor pairs would make a rectangle covering the same area?

Q3.Which of these are factors of 48?
Q4.Which factor is missing from the factor bug?

Q5.What number is represented by the factor bug?

Q6.What number is represented by the incomplete factor bug?
